Buckling analysis of functionally graded beams with periodic nanostructures using doublet mechanics theory

dc.contributor.authorGul, Ufuk
dc.contributor.authorAydogdu, Metin
dc.date.accessioned2024-06-12T10:55:25Z
dc.date.available2024-06-12T10:55:25Z
dc.date.issued2021
dc.departmentTrakya Üniversitesien_US
dc.description.abstractBuckling analysis of functionally graded (FG) nanobeams is examined using doublet mechanics theory. The material properties of FG nanobeams change with the thickness coordinate. A periodic nanostructure model is considered in FG nanobeams which has a simple crystal square lattice type and Euler-Bernoulli beam theory is used in the formulation. Softening or hardening material behaviour has been observed by changing chiral angle of the considered FG periodic nanobeams in the present doublet mechanics theory. Unlike other size dependent theories such as nonlocal stress gradient elasticity theory, couple stress theory, strain gradient theory, this mechanical response (softening or hardening) is seen for the first time in doublet mechanics theory. Mechanical material responses are directly affected by the atomic structure of the considered material in the doublet mechanics theory. Firstly, micro-stress and micro-strain relations are obtained for the considered nanostructure model in doublet mechanics theory. Then, these microequations are transformed to macroequations in the present doublet mechanics theory. Thus, more physical and accurate mechanical results can be obtained in nanostructures using the doublet mechanics theory. After developing the mathematical formulations of FG periodic nanobeams, Ritz method is applied to obtain the critical buckling loads for different boundary conditions. Comparison of example studies with the present doublet mechanics model is presented for verification, and effects of chiral angle on stability response of periodic FG nanobeams are discussed.en_US
dc.identifier.doi10.1007/s40430-021-02972-z
dc.identifier.issn1678-5878
dc.identifier.issn1806-3691
dc.identifier.issue5en_US
dc.identifier.scopus2-s2.0-85104269029en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org/10.1007/s40430-021-02972-z
dc.identifier.urihttps://hdl.handle.net/20.500.14551/19394
dc.identifier.volume43en_US
dc.identifier.wosWOS:000639450200001en_US
dc.identifier.wosqualityQ3en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringer Heidelbergen_US
dc.relation.ispartofJournal Of The Brazilian Society Of Mechanical Sciences And Engineeringen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectBucklingen_US
dc.subjectDoublet Mechanicsen_US
dc.subjectFunctionally Graded Nanobeamsen_US
dc.subjectHardeningen_US
dc.subjectSofteningen_US
dc.subjectFree-Vibration Analysisen_US
dc.subjectCarbon Nanotubesen_US
dc.subjectBehaviorsen_US
dc.subjectTimoshenkoen_US
dc.subjectModelen_US
dc.subjectCntsen_US
dc.titleBuckling analysis of functionally graded beams with periodic nanostructures using doublet mechanics theoryen_US
dc.typeArticleen_US

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